Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample591.0ms (10.2%)

Memory

1.3MiB live, 857.6MiB allocated

Samples

349.0ms	8 256×	0	valid
18.0ms	309×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 73.0ms (42.5% of total)

ival-expm1: 62.0ms (36.1% of total)

ival->: 25.0ms (14.5% of total)

exact: 8.0ms (4.7% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain98.0ms (1.7%)

Memory

-10.9MiB live, 86.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	1	(-7.873323619465573e-22 -1.0685336614980606e-302)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	1	(-3.1017674895906735e-131 -6.660636192802679e+132)	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	134	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	135	0
-	2	119

Precision

0.9854014598540146

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	2	0	119

Precision?

0.9854014598540146

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-expm1: 35.0ms (78.7% of total)

ival-exp: 4.0ms (9% of total)

ival-mult: 4.0ms (9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	205	34
7	227	34
8	241	34
9	252	34
10	253	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-6144	(exp.f64 (*.f64 a x))
cost-diff	0	(*.f64 a x)
cost-diff	6336	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	20	16
0	20	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize23.0ms (0.4%)

Memory

-14.3MiB live, 22.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.053401433128903296	(exp.f64 (*.f64 a x))
accuracy	30.308195803456133	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 7.0ms (64% of total)

ival-mult: 2.0ms (18.3% of total)

ival-expm1: 2.0ms (18.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(exp.f64 (*.f64 a x))

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(- (exp (* a x)) 1)
(exp (* a x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
1.0ms	x	@	0	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
1.0ms	x	@	-inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))

simplify219.0ms (3.8%)

Memory

-5.3MiB live, 116.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	195	201
2	526	193
3	1045	193
4	1672	193
5	1873	193
6	1900	193
7	1920	193
8	1934	193
9	1937	193
10	1937	193
11	2619	189
12	3094	189
13	4061	189
14	4062	189
15	4062	189
16	4190	189
17	4190	189
18	6071	185
19	6279	185
20	6321	185
21	6335	185
22	6335	185
23	6511	185
24	6849	185
25	6849	185
26	7408	185
0	7408	160

Stop Event

1×	iter limit
1×	saturated

Counts

15 → 15

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(- (exp (* a x)) 1)
(exp (* a x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))

rewrite59.0ms (1%)

Memory

3.2MiB live, 41.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1348	11

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 111

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(exp.f64 (*.f64 a x))

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) a) (expm1.f64 (*.f64 x a)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) a)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a))) (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) (expm1.f64 (.f64 x a)))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (expm1.f64 (.f64 x a)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))))
(.f64 (neg.f64 (expm1.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (/.f64 (expm1.f64 (.f64 x a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 x a)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x a)))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x a)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(*.f64 x a)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 a x)
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) x)
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 x a))

eval15.0ms (0.3%)

Memory: -19.0MiB live, 18.9MiB allocated
Compiler: Compiled 2 806 to 340 computations (87.9% saved)

prune9.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	10	122

Accuracy

99.9%

Counts

122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
	69.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
	64.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	69.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 286 to 206 computations (28% saved)

simplify48.0ms (0.8%)

Memory

-4.8MiB live, 32.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x a #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	(expm1.f64 (*.f64 x a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	212
0	49	212
1	87	212
2	146	212
3	310	212
4	700	212
5	1433	212
6	1669	212
7	1739	212
8	1811	212
9	1951	212
10	2061	212
11	2061	212
12	2061	212
13	2212	212
0	2212	212

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)

Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(*.f64 x a)
(*.f64 a x)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)
(*.f64 a x)

localize77.0ms (1.3%)

Memory

4.1MiB live, 82.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.198357831625204	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.715818352966107	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	1.197889494682169	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy	8.775609745084843	(.f64 (.f64 a a) x)
accuracy	19.724339264440943	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	19.743096304472758	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	19.99933644108739	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.053606383987864756	(expm1.f64 (*.f64 x a))

Samples

57.0ms

256×

valid

Compiler

Compiled 367 to 54 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 21.0ms (55.2% of total)

ival-add: 7.0ms (18.4% of total)

const: 4.0ms (10.5% of total)

ival-expm1: 3.0ms (7.9% of total)

ival-exp: 2.0ms (5.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

17 → 58

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (.f64 a a) x)
(*.f64 #s(literal 1/6 binary64) x)

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 x)
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x))
2.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x))
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x))

simplify157.0ms (2.7%)

Memory

11.7MiB live, 127.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	782
1	707	777
2	2339	729
3	6246	716
0	8230	636

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 x)
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
a
(* a (+ 1 (* 1/2 (* a x))))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* (pow a 2) x)
(.f64 (.f64 a a) x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (/.f64 x a) a)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (/.f64 x a) a)) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(fma.f64 a x #s(literal 1 binary64))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 x #s(literal 1/24 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(+ a (* 1/2 (* (pow a 2) x)))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (fma.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 a x) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 a x) x)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a)
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) a (/.f64 (-.f64 a (/.f64 #s(literal -1 binary64) x)) x)) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64))

rewrite225.0ms (3.9%)

Memory

6.8MiB live, 197.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	177
0	49	177
1	209	177
2	1532	177
0	8086	177

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 405

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (.f64 a a) x)
(*.f64 #s(literal 1/6 binary64) x)

Outputs
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) a))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))
(.f64 (/.f64 (+.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)))) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))
(fma.f64 (.f64 a x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval75.0ms (1.3%)

Memory: 13.7MiB live, 87.2MiB allocated
Compiler: Compiled 19 616 to 1 846 computations (90.6% saved)

prune19.0ms (0.3%)

Memory

-9.5MiB live, 35.3MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	448	6	454
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	452	12	464

Accuracy

99.9%

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	5.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	20.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	65.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	64.3%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	69.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
▶	69.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))

Compiler

Compiled 367 to 259 computations (29.4% saved)

simplify322.0ms (5.6%)

Memory

20.7MiB live, 206.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	378
0	79	378
1	153	378
2	327	378
3	818	378
4	1795	378
5	3118	378
6	3158	378
7	3177	378
8	3195	378
9	3195	378
10	4812	378
11	4812	378
12	4825	378
13	4825	378
14	5087	378
15	5167	378
16	5167	378
0	8068	364

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
a
#s(literal 1/6 binary64)
(*.f64 x a)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a a) a) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a a) a) x)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 x a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(*.f64 a x)
(*.f64 x a)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a a) a) x))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) (.f64 a a) a) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(fma.f64 (.f64 (.f64 x x) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
a
#s(literal 1/6 binary64)
(*.f64 x a)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize115.0ms (2%)

Memory

-13.6MiB live, 107.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	0.48475975604226773	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
accuracy	1.6674948208877947	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
accuracy	19.907030790300528	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
accuracy	0.7064317666099322	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
accuracy	1.674893397358309	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	4.99956038385344	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	19.31080249752307	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	8.775609745084843	(.f64 (.f64 a a) x)
accuracy	19.724339264440943	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
accuracy	43.61799908263174	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 a x)
accuracy	19.558206556958257	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
accuracy	0.0859375	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.198357831625204	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.31080249752307	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))

Samples

87.0ms

256×

valid

Compiler

Compiled 666 to 94 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 35.0ms (53.9% of total)

ival-add: 18.0ms (27.7% of total)

const: 7.0ms (10.8% of total)

ival-expm1: 3.0ms (4.6% of total)

ival-exp: 2.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

-9.0MiB live, 28.4MiB allocated

Counts

22 → 118

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 #s(literal 1/24 binary64) x)

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/2 (* (pow a 2) (pow x 2)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/6 x)
(* 1/24 x)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/24 x))
5.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/24 x))
4.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/24 x))
4.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/24 x))
3.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/24 x))

simplify249.0ms (4.3%)

Memory

18.4MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1882
1	1334	1825
2	4651	1719
0	8184	1577

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 117

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/2 a)
(* a (+ 1/2 (* 1/6 (* a x))))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/2 (* (pow a 2) (pow x 2)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(* (pow a 2) x)
(- (exp (* a x)) 1)
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/6 x)
(* 1/24 x)
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/6 (* a x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) x)
x
(+ x (* 1/2 (* a (pow x 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x)
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(* (pow a 2) x)
(.f64 (.f64 a a) x)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))) (pow.f64 a #s(literal 3 binary64)))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) a) a #s(literal 1 binary64))
(* 1/6 (* (pow a 2) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/6 binary64))
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 3)))
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(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(.f64 (.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 x) #s(literal 1/2 binary64))

rewrite178.0ms (3.1%)

Memory

8.9MiB live, 199.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	312
0	79	312
1	295	312
2	1800	312
0	8713	298

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 380

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 #s(literal 1/24 binary64) x)

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)
(.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))
(.f64 x (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))))
(.f64 a (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a))) (.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (-.f64 (.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))) (.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x a))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x a))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x a)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x a)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(fma.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 #s(literal 1 binary64) (*.f64 x a)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (*.f64 x a)))
(+.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (*.f64 x a) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 x a) a)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))

eval66.0ms (1.1%)

Memory: 1.0MiB live, 84.3MiB allocated
Compiler: Compiled 22 337 to 2 267 computations (89.9% saved)

prune21.0ms (0.4%)

Memory

-1.3MiB live, 36.2MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	463	9	472
Fresh	1	2	3
Picked	3	2	5
Done	0	4	4
Total	467	17	484

Accuracy

99.9%

Counts

484 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	5.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	20.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
	65.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
▶	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
✓	69.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	69.8%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
▶	69.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
	69.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
	64.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)) a #s(literal 1 binary64)) (*.f64 x a)))
▶	21.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))

Compiler

Compiled 693 to 474 computations (31.6% saved)

simplify139.0ms (2.4%)

Memory

-8.9MiB live, 66.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
cost-diff	704	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
cost-diff	0	#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 x a))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	495
0	88	477
1	180	477
2	386	474
3	961	471
4	1319	463
5	1648	463
6	2207	463
7	3636	463
8	4395	463
9	4947	463
10	5263	463
11	5383	463
12	5474	463
13	7697	463
0	8100	452

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
x
#s(literal 1/2 binary64)
(*.f64 x a)
(.f64 #s(literal 1 binary64) (.f64 x a))
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x a)
x
a
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a))
#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) a)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
a
(*.f64 x a)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
x
#s(literal 1/2 binary64)
(*.f64 x a)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
x
#s(literal 1/2 binary64)
(*.f64 x a)
(.f64 #s(literal 1 binary64) (.f64 x a))
(*.f64 x a)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) a)
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x a)
x
a
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) a) x)) (*.f64 x a)))
(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a))
(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) a) x)) (*.f64 x a))
#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) a) x))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
(.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) a) a) x)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) a)
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) a)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
a
(*.f64 x a)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
x
#s(literal 1/2 binary64)
(*.f64 x a)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)

localize159.0ms (2.7%)

Memory

19.4MiB live, 138.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	15.184536641319303	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
accuracy	19.724339264440943	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
accuracy	30.308195803456133	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
accuracy	43.30917793960919	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
accuracy	0.0390625	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
accuracy	0.06640625	(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
accuracy	0.3984375	(*.f64 #s(literal 1/6 binary64) a)
accuracy	19.31080249752307	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
accuracy	5.397428283314767	(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
accuracy	10.597496407446412	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) a)
accuracy	19.31080249752307	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
accuracy	43.63461247844603	#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
accuracy	0.0390625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
accuracy	1.674893397358309	(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
accuracy	19.31080249752307	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
accuracy	19.997500498549787	#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
accuracy	0.06640625	(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
accuracy	0.3984375	(*.f64 #s(literal 1/6 binary64) a)
accuracy	1.6562920659711156	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
accuracy	19.31080249752307	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))

Samples

124.0ms

256×

valid

Compiler

Compiled 817 to 117 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 71.0ms (76.2% of total)

ival-add: 11.0ms (11.8% of total)

const: 4.0ms (4.3% of total)

ival-expm1: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

ival-exp: 2.0ms (2.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

1.6MiB live, 39.0MiB allocated

Counts

22 → 70

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(.f64 #s(literal 1 binary64) (.f64 x a))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a))
#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 #s(literal 1/6 binary64) a)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) a)

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 a)
(* 1/6 (* a (pow x 2)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (* (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (* x a)) (* 1 (* x a))) (* 1 (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* 1/2 (* x a)) 1) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x x)) a) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (* x a)) (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* 1/6 a) (* (* 1/6 (* x x)) a))
6.0ms	a	@	0	((+ (* (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (* x a)) (* 1 (* x a))) (* 1 (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* 1/2 (* x a)) 1) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x x)) a) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (* x a)) (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* 1/6 a) (* (* 1/6 (* x x)) a))
4.0ms	a	@	-inf	((+ (* (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (* x a)) (* 1 (* x a))) (* 1 (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* 1/2 (* x a)) 1) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x x)) a) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (* x a)) (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* 1/6 a) (* (* 1/6 (* x x)) a))
3.0ms	x	@	inf	((+ (* (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (* x a)) (* 1 (* x a))) (* 1 (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* 1/2 (* x a)) 1) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x x)) a) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (* x a)) (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* 1/6 a) (* (* 1/6 (* x x)) a))
3.0ms	a	@	inf	((+ (* (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (* x a)) (* 1 (* x a))) (* 1 (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* 1/2 (* x a)) 1) x) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* (* 1/6 (* x x)) a) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (* x a)) (+ (* (+ (* (* 1/6 a) x) 1/2) (* x a)) 1) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* 1/6 a) (* (* 1/6 (* x x)) a))

simplify181.0ms (3.1%)

Memory

-7.6MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	874
1	757	873
2	2455	807
3	5147	806
0	8374	717

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 a)
(* 1/6 (* a (pow x 2)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(exp (* a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* 1/2 (* a x))
(.f64 #s(literal 1/2 binary64) (.f64 x a))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a)
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* 1/6 (* a (pow x 2)))
(.f64 (.f64 (*.f64 x x) a) #s(literal 1/6 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) a)
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a)
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64)) a)
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
(* 1/2 (* a (pow x 2)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x)
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* 1/6 (* a x))
(.f64 (.f64 #s(literal 1/6 binary64) x) a)
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) a)
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) a)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a)
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x) a #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (fma.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a)
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (.f64 a (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x))) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(.f64 (.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x) a #s(literal 1 binary64))

rewrite203.0ms (3.5%)

Memory

18.0MiB live, 218.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	405
0	88	389
1	346	381
2	2032	381
0	8405	364

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 424

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(.f64 #s(literal 1 binary64) (.f64 x a))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
(.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a))
#s(approx (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 #s(literal 1/6 binary64) a)
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) a)

Outputs
(.f64 (/.f64 (.f64 a (fma.f64 (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x) a x)) (.f64 x a)) (/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 a (fma.f64 (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x) a x)) a) (/.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x) x (neg.f64 x))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x a))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x a) #s(literal 4 binary64))) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x a) #s(literal 4 binary64)) (.f64 (.f64 x a) (-.f64 (.f64 x a) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(.f64 (.f64 a (fma.f64 (.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x) a x)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(.f64 #s(literal 1 binary64) (.f64 a (fma.f64 (.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x) a x)))
(.f64 (.f64 x a) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
(.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))
(.f64 x (.f64 a (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
(.f64 a (.f64 (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x))
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(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x a) #s(literal 4 binary64))) (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))))
(+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x a))
(+.f64 (.f64 x a) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) a) x)
(.f64 #s(literal 1 binary64) (.f64 x a))
(.f64 (.f64 x a) (log.f64 (E.f64)))
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(*.f64 a x)
(fma.f64 (*.f64 #s(literal 1 binary64) a) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 (*.f64 x a) (log.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) x) a x)))
(.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x a))
(.f64 (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x)
(.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x))
(.f64 (.f64 x a) (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 x a) (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x a) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (.f64 a #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) a)
(.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))
(.f64 x (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(.f64 a (.f64 (.f64 (fma.f64 x (.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 a (.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) (.f64 (*.f64 #s(literal 1/2 binary64) x) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) (.f64 (*.f64 #s(literal 1/2 binary64) x) a)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x a))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 x a))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x a)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 x a)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x a) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 x a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) a #s(literal -1/2 binary64)) (.f64 (.f64 x a) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) #s(literal 1/2 binary64)))) (.f64 (.f64 x a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) x (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) x (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a) (.f64 (*.f64 #s(literal 1/2 binary64) x) a))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 1 binary64) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 (*.f64 #s(literal 1/2 binary64) x) a))
(fma.f64 (.f64 x a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 (.f64 x a) #s(literal 1/2 binary64) (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x a) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x a) (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 x (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 x (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(fma.f64 a (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (*.f64 x a)))
(fma.f64 a (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 x a) (.f64 (*.f64 x #s(literal 1/6 binary64)) a)))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)) (.f64 (.f64 #s(literal 1/2 binary64) x) a))
(+.f64 (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)) (.f64 (.f64 #s(literal 1/2 binary64) x) a))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) (.f64 x a)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) (.f64 (.f64 x a) (.f64 (.f64 x #s(literal 1/6 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) a)
(.f64 a #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) x)) (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) a) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) a)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) a)) (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) a))) (.f64 x (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) a)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) a)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) a))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) a))) (.f64 (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64)) (.f64 x (fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) a))) (.f64 x (fma.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64)))) (-.f64 (pow.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))))
(fma.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))))
(+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal -1 binary64))
(.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(.f64 (.f64 (*.f64 x x) a) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) a) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) a)
(.f64 (.f64 x x) (*.f64 a #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x a))
(.f64 (.f64 a #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 a (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) a))

eval55.0ms (0.9%)

Memory: -3.8MiB live, 70.7MiB allocated
Compiler: Compiled 18 253 to 1 748 computations (90.4% saved)

prune21.0ms (0.4%)

Memory

-2.1MiB live, 36.1MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	412	8	420
Fresh	1	5	6
Picked	4	1	5
Done	0	6	6
Total	417	20	437

Accuracy

99.9%

Counts

437 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.7%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	5.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	20.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
	65.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
✓	68.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
	20.3%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
✓	69.4%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
	69.8%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a)))
	68.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
	69.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
	69.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
	64.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)) a #s(literal 1 binary64)) (*.f64 x a)))
	21.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
	21.1%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))

Compiler

Compiled 1 272 to 521 computations (59% saved)

regimes43.0ms (0.7%)

Memory

0.5MiB live, 45.3MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)) a #s(literal 1 binary64)) (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

9.0ms	(exp.f64 (*.f64 a x))
9.0ms	x
9.0ms	a
8.0ms	(*.f64 a x)
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`x`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (0.7%)

Memory

6.1MiB live, 44.4MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x)) a #s(literal 1 binary64)) (*.f64 x a)))

Outputs

(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))

#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))

Calls

5 calls:

10.0ms	(*.f64 a x)
8.0ms	x
8.0ms	a
6.0ms	(exp.f64 (*.f64 a x))
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.8%	1	`a`
69.8%	1	`x`
71.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.6%	2	`(exp.f64 (*.f64 a x))`
71.6%	2	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes23.0ms (0.4%)

Memory

-10.4MiB live, 27.8MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a))))

Outputs

(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))

#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (*.f64 x a) (*.f64 x a)))

Calls

3 calls:

9.0ms	(exp.f64 (*.f64 a x))
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.6%	2	`(*.f64 a x)`
71.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.6%	2	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes37.0ms (0.6%)

Memory

-17.3MiB live, 20.9MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) a) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))

#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))

Calls

3 calls:

25.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
71.5%	2	`(*.f64 a x)`
71.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.5%	2	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 x x) a))) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) a) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) a) x) a)) (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) x) a)) (.f64 x a) #s(literal 1 binary64)) (.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))

Outputs

(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))

#s(approx (- (exp (* x a)) 1) (*.f64 #s(approx (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a))

Calls

3 calls:

5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
71.5%	2	`(*.f64 a x)`
71.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.5%	2	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) #s(approx (* (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (+.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) a) x) x)) a))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

5 calls:

3.0ms	x
3.0ms	a
3.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.4%	1	`a`
69.4%	1	`x`
69.4%	1	`(*.f64 a x)`
69.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.4%	1	`(exp.f64 (*.f64 a x))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (0.7%)

Memory

-34.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

5 calls:

1.0ms	(*.f64 a x)
1.0ms	x
1.0ms	a
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.7%	1	`a`
20.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.7%	1	`(exp.f64 (*.f64 a x))`
20.7%	1	`(*.f64 a x)`
20.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999765925385

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999765925385

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999765925385

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999765925385

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify34.0ms (0.6%)

Memory

-2.9MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	276
1	106	276
2	195	276
3	412	276
4	568	276
5	627	276
6	708	276
7	879	276
8	1091	276
9	1126	276
10	1143	276
11	1143	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (*.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))))
(if (<=.f64 (exp.f64 (.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness2.1s (35.6%)

Memory

-7.8MiB live, 606.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1882
1	1334	1825
2	4651	1719
0	8184	1577
0	6	13
0	9	13
1	30	13
2	152	13
0	1348	11
0	61	405
0	88	389
1	346	381
2	2032	381
0	8405	364
0	48	312
0	79	312
1	295	312
2	1800	312
0	8713	298
0	211	782
1	707	777
2	2339	729
3	6246	716
0	8230	636
0	63	201
1	195	201
2	526	193
3	1045	193
4	1672	193
5	1873	193
6	1900	193
7	1920	193
8	1934	193
9	1937	193
10	1937	193
11	2619	189
12	3094	189
13	4061	189
14	4062	189
15	4062	189
16	4190	189
17	4190	189
18	6071	185
19	6279	185
20	6321	185
21	6335	185
22	6335	185
23	6511	185
24	6849	185
25	6849	185
26	7408	185
0	7408	160

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 373 to 157 computations (57.9% saved)

preprocess50.0ms (0.9%)

Memory: 20.4MiB live, 97.4MiB allocated
Remove: (sort a x)
Compiler: Compiled 588 to 178 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	205	34
7	227	34
8	241	34
9	252	34
10	253	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	205	34
7	227	34
8	241	34
9	252	34
10	253	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

start0.0ms (0%)

analyze18.0ms (0.3%)

sample591.0ms (10.2%)

explain98.0ms (1.7%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify219.0ms (3.8%)

rewrite59.0ms (1%)

eval15.0ms (0.3%)

prune9.0ms (0.2%)

simplify48.0ms (0.8%)

localize77.0ms (1.3%)

series14.0ms (0.2%)

simplify157.0ms (2.7%)

rewrite225.0ms (3.9%)

eval75.0ms (1.3%)

prune19.0ms (0.3%)

simplify322.0ms (5.6%)

localize115.0ms (2%)

series27.0ms (0.5%)

simplify249.0ms (4.3%)

rewrite178.0ms (3.1%)

eval66.0ms (1.1%)

prune21.0ms (0.4%)

simplify139.0ms (2.4%)

localize159.0ms (2.7%)

series27.0ms (0.5%)

simplify181.0ms (3.1%)

rewrite203.0ms (3.5%)

eval55.0ms (0.9%)

prune21.0ms (0.4%)

regimes43.0ms (0.7%)

regimes40.0ms (0.7%)

regimes23.0ms (0.4%)

regimes37.0ms (0.6%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes40.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify34.0ms (0.6%)

soundness2.1s (35.6%)

preprocess50.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	205	34
7	227	34
8	241	34
9	252	34
10	253	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4